77 is what percent of 107.8 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 107.8 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 107.8, so we can write it down as 100%=107.8.
4. We know, that x% equals 77 of the output value, so we can write it down as x%=77.
5. Now we have two simple equations:
1) 100%=107.8
2) x%=77
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=107.8/77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77 is what percent of 107.8

100%/x%=107.8/77
(100/x)*x=(107.8/77)*x       - we multiply both sides of the equation by x
100=1.4*x       - we divide both sides of the equation by (1.4) to get x
100/1.4=x
71.428571428571=x
x=71.428571428571

now we have:
77 is 71.428571428571% of 107.8